{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# try different $\\lambda$ constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%reload_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "\n",
    "import sys\n",
    "sys.path.append('..')\n",
    "\n",
    "# load my own module\n",
    "from helper import logistic_regression as lr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# draw decision boundary\n",
    "* we want to find all those x which $X\\times \\theta = 0$\n",
    "* instead of solving polynomial equation, just create a coridate x,y grid that is dense enough, and find all those $X\\times \\theta$ that is close enough to 0, then plot them\n",
    "* [zip is its own inverse!](http://stackoverflow.com/a/19343/3943702)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RfRSWcGZKTEREssst7uV3FYCKDG+5OB3/AM5+xyfjPN7rYXeBMWYtzjSUH2fBx73W2t0h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QhbqmrZvrs+I9PWhBAG1wahWuvPWri6eQw/iI5BaFH0Y7Jv1Tdh9B09zcZtrwJu7+zC48eP212T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\niIiISOwUQkVEREQkdgqhIiIiIhK7/w8dyzZbFHeJNgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11295b668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.draw_boundary(power=6, l=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XTMpoTENVvjobiEj5UhAqZSvfFdH+Em86ymGJ91BjY85bOAXxXk4eX8fSC2cl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AAAAY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\nAQCY7gMx9z60R0hPxgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112b45978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.draw_boundary(power=6, l=0)  # no regularization, over fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GmJtxy1CduIKPG6y1OxOeKSIieedtdvACrir/OlwR3Q+KOigRyVnFBaHW2nWpj0rK7413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\n2YpOKsongEPAy621Hf6dxpiduG5pr8WlJN6CW6A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AyT7L5+1y5ezQ1+oUlzvHZa8GuQjf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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11297ab70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lr.draw_boundary(power=6, l=100)  # underfitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda env:tf]",
   "language": "python",
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